A slowly rotating perfect fluid body in an ambient vacuum
Michael Bradley, Gyula Fodor, Zolt\'an Perj\'es
TL;DR
This paper develops a global model of a slowly rotating perfect fluid body within general relativity, highlighting the geometric properties of the junction surface and the limitations of joining with asymptotically flat vacuum regions.
Contribution
It introduces a model combining a Wahlquist-based interior with a non-asymptotically flat vacuum exterior, extending understanding of rotating fluid bodies in GR.
Findings
Junction surface is an ellipsoidal cylinder to second order in rotation.
The vacuum region cannot be asymptotically flat, confirming previous results.
Provides a consistent global model for slowly rotating fluid bodies.
Abstract
A global model of a slowly rotating perfect fluid ball in general relativity is presented. To second order in the rotation parameter, the junction surface is an ellipsoidal cylinder. The interior is given by a limiting case of the Wahlquist solution, and the vacuum region is not asymptotically flat. The impossibility of joining an asymptotically flat vacuum region has been shown in a preceding work.
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